Vaidev, Wesley and Oscar shared a sum of money. The amount received by Wesley was
45 the amount of money received by Oscar. After Vaidev had given $53 to Wesley and $29 to Oscar, Wesley gave $5 to Oscar. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Vaidev and Wesley had at first.
|
Vaidev |
Wesley |
Oscar |
Before |
4 u + 130 |
4 u |
5 u |
Change 1 |
- 53 |
+ 53 |
|
Change 2 |
- 29 |
|
+ 29 |
Change 3 |
|
- 5 |
+ 5 |
After |
4 u + 48 |
4 u + 48 |
5 u + 34 |
Amount that Wesley had in the end = 4 u + 48
Amount that Oscar had in the end = 5 u + 34
Amount that Vaidev had at first
= 4 u + 48 + 53 + 29
= 4 u + 130
Amount that Wesley and Oscar had in the end is the same.
4 u + 48 = 5 u + 34
5 u - 4 u = 48 - 34
1 u = 14
Amount that Vaidev and Wesley had in the end is the same.
Amount that Vaidev had in the end
= 4 u + 48
= 4 x 14 + 48
= 56 + 48
= $104
Amount that Vaidev had at first
= 104 + 53 + 29
= $186
Difference in the amounts between Vaidev and Wesley at first
= 186 - 56
= $130
Answer(s): $130